Find two consecutive integers whose sum is eleven less than three times the smaller integer.

Answers

Answer 1

Answer:

If you call the smaller integer "x" and the greater integer "y", then:

x+y=3x-11             The sum of the two is 11 less than 3 times the smaller

y=x+1                    Because they are consecutive, the greater must be 1 more than the smaller

Then you can solve for x:

x+(x+1)=3x-11       Substitute x+1 for y

2x+1=3x-11            Combine like terms

2x+12=3x               Add 11 to both sides

12=x                      Subtract 2x from both sides

The smaller integer is 12, thus the greater integer is 1 more or 13.

Check:

12+13=3(12)-11

25=36-11

25=25                       Yes, so the integers are 12 and 13

Step-by-step explanation:

thats pretty much it


Related Questions

Leo the Rabbit

Leo the Rabbit is climbing up a flight of 10 steps. Leo can only hop up 1 or 2 steps each time he hops. He never hops down, only up. How many different ways can Leo hop up the flight of 10 steps? Provide evidence to justify your thinking.

Can someone provide an answer and explain. Thanks

Answers

Answer:

2?

Step-by-step explanation: because he can hop them one step at a time or two steps at a time

what is (3,0) reflected on the y-axis

Answers

Reflecting across the y axis, the x value becomes opposite and the y value remains the same.

(3,0) becomes (-3,0)

Answer:

(-3, 0)

Step-by-step explanation:

There is the same amount of units from either side of the y-axis to the points.

Y=9x+2x please help, i don't know how to
do this stuff

Answers

Answer: I hope you understand, just mutiply whatever x is by 11 to get Y

Step-by-step explanation:

x = unknown number

9x+2x= 11x

Y=11x

Is (1,1) a solution to this system of inequalities

Answers

Answer: No

Explanation: It doesn’t work

2. A train starts its journey with 240 passengers.
144 of the passengers are adults and the rest are children.
(a) Write the ratio Adults: Children in its lowest terms.
[2]
(b) At the first stop, 37 % of the adults and of the children get off the train.
20 adults and x children get onto the train.
The total number of passengers on the train is now 200.
(i)
How
many children got off the train?
(ii)
How
many adults got off the train?
[1]
(iii) How many adults passengers are on the train as it sets off again? [1]
(iv) What is the value of x?
[1]

Answers

Answer:

i=52

ii=32

iii=54

iv=92

Step-by-step explanation:

Comment if you need explanation

Answer:

A. 3:2

B. 31 children

(i). 35 children

(ii) 53 adults

(iii) 111 adults 89 children

(iv) The value of x is 35.

Step-by-step explanation:

7) Write an equation in point-slope form of the line
through point J(-2,10) with slope - 2

Answers

Answer:

y=-2x+6

Step-by-step explanation:

y=mx+b

10=(-2)(-2)+b

10=4+b

10-4=b

6=b

Hector is dividing students into groups for a nature hike. He wants to divide the boys and girls so that each group has the same number of both boys and girls. There are 21 boys and 56 girls signed up for the hike. Into how many groups can the students be divided? How many boys and how many girls will be in each group?

Answers

Answer: The students can be divided into 7 groups.

Each group will have 3 boys and 8 girls.

Step-by-step explanation:

There are 21 boys and 56 girls.

To divide them so that each group has the same number of both boys and girls.

We find GCD(21,56).

21 = 3 x 7

56 = 2 x 2 x 2 x 7

GCD (21,56) = 7

So, the students can be divided into 7 groups.

Number of girls in each group = [tex]\dfrac{56}{7}=8[/tex]

Number of boys in each group = [tex]\dfrac{21}{7}=3[/tex]

So, each group will have 3 boys and 8 girls.

Point S is the _ of UT?

Answers

Answer:

V

Step-by-step explanation:

SV is correct because it is the same

length of UT. You can check by using

your fingers to check the length of

UT then turn the picture around to

see if it is equal.

Hope this helps! <3

Answer:

S is the midpoint of UT

Step-by-step explanation:

US = ST   -----> from the picture

So, S is the mid point

The value of (-1728)+ V324 is​

Answers

-1710

im pretty sure

For each value of x, determine whether it is a solution to x - 42 = 7.​

Answers

Answer:

67- No  46-No   49-Yes   47-No

Step-by-step explanation:

Hope this helps!

Answer:

67...No

46...No

49...Yes

47...No

Step-by-step explanation:

x - 42 = 7

Add 42 to both sides

x = 49

if anyone could help that'd be great! :)

Answers

Answer:

Option 2

Step-by-step explanation:

Step 1: Translate

"a number" = x

"product" means multiply

"-2/3" = -2/3

"is" means equal

"-9/10" = -9/10

Step 2: Set up equation

-2/3x = -9/10

Step 3: Solve for x

Divide both sides by -2/3: x = 27/20Simplify: x = 1 7/20

Make s the subject of the formula

T^2=2p+as

Answers

Step-by-step explanation:

Original formula: T^2 = 2p + as

T^2 - 2p = as

s = (T^2 - 2p) / a

M to the power of 5 n to the power of 3 divided by m to the power of 2 n to the power of -4

please solve fast I will mark the first answer as brainliest and give with step by step explanation ​

Answers

When you divide exponents, you subtract the powers.
m^5/m^2 = m^3
n^3/n^-4 = n^7

Answer is (m^3)(n^7)

Help me please need help

Answers

Answer:

w = 10

Step-by-step explanation:

I did the math and and I got 10

Hope it helps!! :D

Answer:

w = 10?

Step-by-step explanation:

13 PLS TELL ME THE EQUATION AND HOW TO SOLVE IT WITH THE ANSWER

Answers

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This triangle should be 180 degrees.

So you should add 80 and 45 and subtract it from 180 to get x.

What is the slope of this graph?


4

−14

−4

14

Answers

The answer is -4 times


Answer:

-4

Step-by-step explanation:

i took the  quiz on  k12 :)

Point B is located at (0, 2) and is translated to point B' with coordinates (1, -1), which translation did point B undergo? One unit right and three units down One unit right and one unit down Two units right and two units down Three units left and one unit up

Answers

Answer:

One unit right and three units down

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is translated a units right and b units up, its new location is at X'(x + a, y + b) while if a point is translated a units left and b units down, its location is X'(x - a, y - b).

Since point B is located at (0, 2) and translates to B' with coordinates (1, -1), the translation is given as (x + 1, y - 3) that is 1 unit right and 3 unit down.

In a certain fraction, the denominator is 4 larger than the numerator. If 2 is added to both the numerator and the denominator,the result is 3\5. Find the original fraction. PLS ANSWER ​

Answers

Step-by-step explanation:

Here you go, I tried my best

cheers

The original fraction is [tex]\frac{4}{8}[/tex]

Let the numerator = a

Let the denominator = b

Denominator is 4 larger than the numerator: b = a + 4

2 is added to both the numerator and the denominator: (a + 4 +2) and a + 2

The algebraic equation from the given statement is formed as follows;

[tex]\frac{a+ 2}{a+4+2 } = \frac{3}{5} \\\\\frac{a+ 2}{a + 6} =\frac{3}{5} \\\\5(a + 2) = 3(a + 6)\\\\5a + 10 = 3a + 18\\\\5a - 3a = 18 -10\\\\2a = 8\\\\a =4[/tex]

The original fraction is calculated as follows;

[tex]\frac{a }{a +4} = \frac{4}{4+ 4} = \frac{4}{8}[/tex]

Thus, the original fraction is [tex]\frac{4}{8}[/tex]

Learn more here: https://brainly.com/question/16889590

Can someone answer this?

Answers

Answer:

y = 1500 + 800x

Step-by-step explanation:

This is the answer because Elisa charges 1500 dollars no matter what. That value is not dependant on anything. Every hour she is with the client is 800 dollars. That is why it is represented as 800x. X being the amount of hours. You add the two together to find how much Elisa's services cost.

Whats the answer? I will give brainliest if correct♡︎ꨄシ

Answers

Answer:

b isnt a fuction

Step-by-step explanation:

Answer:B

Step-by-step explanation:

PLEASE HELP, GIVING BRAINLIEST!!!

These triangles are congruent by _____.

A. SAS
B. AAS
C. SSS
D. Not enough information
E. None of these

Answers

Answer:

I think it might be C...

Question 3 of 10
What is the slope of the line given by the equation below?
y + 2 = -3(x-5)
A. -5
B. 3
C. -3
D. 2

Answers

The answer is -3 !

Explanation:

Please give brainliest

Please send an answer quick I really need it the picture is above.

Answers

Answer:

-132

Step-by-step explanation:

When you plug in -8 to every x you get -2(8)^2+2(8)-20 which gives you -132.

NEED HELP PLEASE IM BEGGING YOU !!!!!
I NEED HELP WITH 6 AND 7 PLEASE

Answers

Answer:

6. is H

7. is B

Explanation:

the communitive property states that if: a+b=c, then b+a=c

if each ballon costs 2 dollars, that would b 2x or $2 (aka the 2) for 1 balloon (aka the x) and since he has a 10$ off coupon, you have to subtract 10$ so y=2x-10

Please answer this.. please

Answers

the second one and the last one

Find the slope from the table

Answers

Answer:-4/1

Step-by-step explanation:

Help please!!!

Question 6
5 pts
Factor the variable expression:
36X + 8X
0419x-4)
4X (9+2)
9(4X+2x)
8(X+X)

Answers

Answer:

4x (9+2)

Step-by-step explanation:

36x+8x

36 and 8 can be divided by 4 and they both have an x

[tex]36x + 8x = 4x(9 + 2)[/tex]

[tex]44x = 36x + 8 x[/tex]

[tex]44x = 44x[/tex]

The Answer is

[tex] \green {\boxed{4x(9+2)}}[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

Which method represents a correct way to solve the equation?

-x+(-3+x)2 = 6

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

OA.

Square -3.

Square x.

Subtract -7x from both sides.

OB. Subtract 9 from both sides.

Take the square root of both sides.

Square -3.

Square x.

Combine like terms

OC. Subtract 6 from both sides.

Use the quadratic formula to solve for x.

OD

Square the quantity (-3 + x).

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Answers

Answer:

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Step-by-step explanation:

Given:

-x (-3 + x )2 = 6

-x (-3 + x )2 = 6

-x (-6 + 2x) = 6

-6x + 2x^2 = 6

2x^2 - 6x - 6 = 6 - 6

2x^2 - 6x - 6 = 0

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Find the measurement of PQ. Assume the drawings are not drawn to scale

Answers

Answer:

25.7 cm

Step-by-step explanation:

If a = 8 in and b = 15 in what is the length of leg c in a right triangle using the
pythagorean theorem?

Answers

So a²+b²=c²
8²+15²=c²
64+225=c²
289=c²
±17=c
So c=17 or c=-17

See attachment for math work and answer.

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